Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, what is the regular price of each ticket? Write and solve an equation of the form p(x±q)=r . Then write a sentence to explain your answer.(4 points)
in my own words
Let's assume that the regular price of each ticket is represented by 'p'. Since there is a discount of $1.50 off the regular price, the sale price for each ticket will be 'p - 1.50'.
Dea buys 6 tickets, so her total cost will be the sale price of each ticket multiplied by the number of tickets she bought, which is (p - 1.50) * 6.
According to the given information, Dea's total cost is $51. Therefore, we can write the equation:
(p - 1.50) * 6 = 51
To solve for 'p', we can simplify the equation:
6p - 9 = 51
Adding 9 to both sides:
6p = 60
Dividing both sides by 6:
p = 10
Therefore, the regular price of each ticket is $10.
In conclusion, the equation p(x±q)=r, where p is the regular price, x is the number of tickets, q is the discount, and r is the total cost, helps us find the regular price of each ticket by solving the equation. In this case, the regular price is $10.